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Finding the Fourth Proportional to 86,875.50, 119,887.38 and 49,149.75

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Solution

The fourth proportional to 86,875.50, 119,887.38 and 49,149.75 is: 67,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,875.50 : 119,887.38 = 49,149.75 : x
  2. Step 2: Convert to fraction form
    86,875.50/119,887.38 = 49,149.75/x
  3. Step 3: Cross multiply
    86,875.50x = 119,887.38 × 49,149.75
  4. Step 4: Simplify right side
    86,875.50x = 5,892,434,755.16
  5. Step 5: Solve for x
    x = 5,892,434,755.16/86,875.50
  6. Step 6: Final answer
    x = 67,826.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.